In this project I am to make 4 hypotheses about Mayfield High School, then I will analyse the data using suitable diagrams and explaining them to show whether or not my hypotheses were correct.

Extracts from this document...

Introduction

GCSE MATHS:

STATISTICS PROJECT

Aim of project:

In this project I am to make 4 hypotheses about Mayfield High School, then I will analyse the data using suitable diagrams and explaining them to show whether or not my hypotheses were correct.

Hypothesis 1:

I will compare the height of males against that of females, to do this I will investigate males and females in years 10 and 11. Also I will compare the males heights to that of the females in both year groups.

To do this I will use box and whisker plots of both the males and females and put them on the same axis as this will allow me to compare them more easily. I will expect the boys upper quartile and median to be higher than that of the females, but the girls lower quartile to be lower than that of the males.

Hypothesis 2:

For my second hypothesis I will compare the weights of males and females. To do this I will investigate the males weights against that of the females, also I feel the females will weigh less on average. I will do this in both years 10 and 11 to get a broader view of the information.

Hypothesis 2

During this hypothesis I will be comparing the weights of the females to that of the males, I will do this in both years 11 and 10. Throughout this hypothesis I will refer to my prediction I made earlier.

In these diagrams I can see that the males on average are heavier than females this can be seen from the larger numbers of people in the higher weight bands. It also shows that girls weigh less as they are seen in the 30-40 range whereas the males are not in that category at all. Also further proving males weigh more is that they are in the 80-90 category whereas the females are not. This proves my earlier prediction that females weigh less than males.

In these two histograms the same can be seen as before which is that the weights of males in year 11 is on average higher than that of the females. Also that they have a higher upper quartile and that the females have the lower, lower quartile. This just shows the first plot of year 10 students

in greater detail. We can see that the males ranges of weight go up far greater than that of the females.

In this scatter graph positive correlation can be seen again but not as strongly as it was in the first scatter graph. I t can be seen with the line of best fit (blue line) that weight affects height in the same way as earlier, this is that as weight increases so does the height of the individual.

In conclusion I believe there is positive correlation between the heights and weights of the students, meaning that as their weights increase so does their height; as was earlier predicted in my plan.

Final conclusion

During this investigation I believe that my hypotheses have been carried out thoroughly and accurately. I also believe that the predictions I made were correct in every case during the investigation.

Evaluation

For my investigation I feel I have carefully and accurately selected correct data, and removed the anomalous parts to prevent mistakes. Also for added accuracy I have got autograph to draw all the graphs and diagrams for me as it is far more accurate than attempting to do it by hand. I feel that also I have explained the different conclusions thoroughly showing the meanings of the graphs.

Related GCSE Height and Weight of Pupils and other Mayfield High School investigations essays

trend in data and the results and firstly below is a histogram showing the IQ levels of my sample: IQ Average Hours of TV per week This shows me the Median Group for IQ Level 100-110 and the Number of Average hours varies Median group of 10-30 Scatter Graph I will now produce a Scatter Graph.

The results that I collected were typed up on an excel spreadsheet. Since I am only investigating the height and height, I will only show these particular fields in my results. Stratified Sample Results - Boys Year Group Surname Forename Height (m)

The standard deviation is 2.005, this is how far the data is away from the mean, as it is quite high this tells me that travelling by bike is Means of Travel: Bus Bus Distance From School (km) Frequency Cumulative Frequency 1?d<2 4 4 2?d<3 12 16 3?d<4 14 30

When drawing my line of best I did not consider this boy because it is a freak and very rare result and including him would change my line of best fit to an unnatural positioning on my scatter graph. My line of best fit suggests that a boy who is

There is a positive correlation between height and weight when girls are considered. There is a positive correlation between height and weight when boys are considered. Conclusion The evidence gained from the scatter diagrams supports the hypothesis. This is that there is a better correlation between height and weight if girls and boys are considered separately.

The broadsheet is the biggest paper and the most expensive but its headlines are only the second largest. The quality tabloid and the local paper are both the same size but the local paper is 10p more expensive than the quality tabloid and is the second most expensive out of all the papers.